# Questions tagged [fundamental-solution]

Questions on fundamental solutions of an ordinary differential equation.

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### Differential Equations: Which values of b = damping coefficient does the typical solution approach the equilibrium position most rapidly

Here's where I'm at with it: $\lambda ^2+b\lambda +3=0$ $\lambda _1=\frac{\left(-b+\sqrt{b^2-12}\right)}{2},\:\lambda \:_2=\frac{\left(-b-\sqrt{b^2-12}\right)}{2}$ I do not know how to complete this ...
1answer
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### A question regarding the fundamental solution of a 1D Laplace equation

Disclaimer: My mathematical background is mathematical physics so this question most likely lacks rigor. I am trying to understand the nature of the singularity of the fundamental solution (aka Green ...
0answers
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### calculating first and fundamental form coefficients with surface normal and Gaussian curvature

I have some points (point cloud), I need first and second fundamental form coefficients at each point. before I used some polynomial surface fitting algorithm then these coefficients were calculated....
1answer
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### What is $\frac {\partial \Gamma} {\partial \nu}$ on $\partial B_{\rho} (y)$?

I am studying Laplace's equation from the book "Elliptic partial differential equations of second order" written by Gilbarg and Trudinger. Here I am struggling to grasp a concept regarding the ...
1answer
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### CDA Fundamentals of Comp.S - Reduce an equation

how can I reduce: $co = ci'ab+cia'b+ciab'+ciab$ to: $co = ab + cia + cib$ I don't know how they did that on the book... This is for Adders, working with circuits. Thank you very much
1answer
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### Trying out Green functions in simple context

I am a physics student, and have had to use Green's function methods prior (in electrodynamics for example), but things were always badly explained. Now I am trying to brush up on things a bit and ...